| Base | Representation |
|---|---|
| bin | 1000011000000010… |
| … | …0111101011000000 |
| 3 | 12210200120221202000 |
| 4 | 2012000213223000 |
| 5 | 14101031400230 |
| 6 | 1011033024000 |
| 7 | 106500213006 |
| oct | 20600475300 |
| 9 | 5720527660 |
| 10 | 2248309440 |
| 11 | a54126183 |
| 12 | 528b55000 |
| 13 | 29aa47420 |
| 14 | 174854a76 |
| 15 | d25b0b60 |
| hex | 86027ac0 |
2248309440 has 448 divisors, whose sum is σ = 8788725120. Its totient is φ = 537477120.
The previous prime is 2248309439. The next prime is 2248309457. The reversal of 2248309440 is 449038422.
It is a super-2 number, since 2×22483094402 = 10109790675986227200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2248309395 and 2248309404.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4155570 + ... + 4156110.
It is an arithmetic number, because the mean of its divisors is an integer number (19617690).
Almost surely, 22248309440 is an apocalyptic number.
2248309440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2248309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394362560).
2248309440 is an abundant number, since it is smaller than the sum of its proper divisors (6540415680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2248309440 is a wasteful number, since it uses less digits than its factorization.
2248309440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 617 (or 601 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The square root of 2248309440 is about 47416.3414868756. The cubic root of 2248309440 is about 1310.0424281657.
It can be divided in two parts, 224830 and 9440, that added together give a triangular number (234270 = T684).
The spelling of 2248309440 in words is "two billion, two hundred forty-eight million, three hundred nine thousand, four hundred forty".
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